If sin ⁡ x is the integration factor of the linear differential equation d y d x + P y = Q , then P is

Question

If sin ⁡ x is the integration factor of the linear differential equation d y d x + P y = Q , then P is, log ⁡ sin ⁡ x, cos ⁡ x, tan ⁡ x, cot ⁡ x

MARKS App · Accepted Answer

Given. I.F of d y d x + p y = Q i s sin ⁡ x ∴ e ∫ p d x = sin ⁡ x ⇒ ∫ P d x = ln ⁡ sin ⁡ x By anti - differentiation method, we will get P = d d x ln ⁡ sin ⁡ x = 1 sin ⁡ x . cos ⁡ x P = cot ⁡ x

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